Discovering Two Novel Solutions: Circular and Hyperbolic Functions of SU(2) Yang-Mills Gauge Field Equations Using Null-Tetrad Formalism | Chapter 5 | Mathematics and Computer Science: Contemporary Developments Vol. 4

 

Two more new exact closed-form solutions of SU(2) Yang-Mills gauge field equations were found by the Carmeli-Charash-Kaye-Kh. Huleihil null-tetrad formalism. Unlike the reported first solutions with special functions of elliptic integrals, these new solutions are circular and hyperbolic trigonometric functions with two arbitrary integration constants. Electric parts corresponding to the solutions with circular functions cases are found as zero and nonzero magnetic parts so concluded as monopole solutions. In solutions with hyperbolic function cases, both electric and magnetic parts of Yang-Mills fields are zero.  Yang-Mills potentials and fields are also reported for all solutions.

 

Author (s) Details

B.V. Baby
3\88, Jadkal Post, Udupi District, Karnataka State, 576 233, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v4/1847

New Exact Monoploe Sultions of SU(2) Yang-Mills Gauge Field Equations by Null-Tetrad Formalism | Chapter 11 | Research and Applications Towards Mathematics and Computer Science Vol. 9

New closed form solutions of SU(2) Yang-Mills (YM) gauge field equations found by the Carmeli-Charash-Kaye-Kh. Huleihil null-tetrad formalism. Unlike earlier reported solutions with special functions of elliptic integrals, this new solutions are with complex valued circular functions and with two arbitrary integration constants. Electric parts obtained as zero and having only nonzero magnetic parts and so concluded as new magnetic monopole solutions of SU(2) YM gauge filed equations.

Author(s) Details:

B. V. Baby,
3\88, Jadkal Post, Udupi District, Karnataka State, 576 233, India.

Please see the link here: https://stm.bookpi.org/RATMCS-V9/article/view/13464

Biomedical Applications of Some Schiff Base Metal Complexes Containing Imidazole/Thiophene Derivatives | Chapter 5 | Current Advances in Chemistry and Biochemistry Vol. 9

 Schiff base was produced by condensing imidazole-2-carboxaldehyde with 2-amino-3-carboxyethyl-4,5-dimethyl thiophene in a 1:1 molar ratio. Schiff base complexes of CoII, NiII, CuII, and ZnII were produced and studied. Magnetic and electronic spectrum data were used to propose the complexes' shape. The thermal stability of the compounds was determined using thermal analysis. The fluorescence spectral study of the Schiff base and its CuII complex in various solvents was examined. The grain size was determined using powder XRD measurements. The surface morphology of the complexes is depicted in SEM pictures. The antibacterial and antifungal activity were tested using Kirby-disk Bauer's diffusion method. MTT assay was used to conduct in vitro anticancer investigations on a human cervical carcinoma cell line.

Author (s) Details

Dr. Sonia Mol Joseph
Department of Chemistry, Mar Ivanios College (Autonomous), Thiruvananthapuram, Kerala – 695 015, India.

R. Selwin Joseyphus
Department of Chemistry, Mar Ivanios College (Autonomous), Thiruvananthapuram, Kerala – 695 015, India.

View Book :- https://stm.bookpi.org/CACB-V9/article/view/2196